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Theorems · Inductive type · category theory

CommMonCat

Type (u + 1)

The category of commutative monoids and monoid morphisms.

Defined in
Mathlib.Algebra.Category.MonCat.Basic
Cited by
51 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CommMonCat.carrier · cited by 44CommMonCat.carrierCommMonCat.Hom.hom · cited by 20Hom.homCommMonCat.of · cited by 18CommMonCat.ofCommMonCat.ofHom · cited by 17CommMonCat.ofHomAddCommMonCat.equivalence · cited by 6AddCommMonCat.equivalenceCommMonCat.coyoneda · cited by 5CommMonCat.coyonedaCommMonCat.coyonedaType · cited by 3CommMonCat.coyonedaTypeCommMonCat.units · cited by 3CommMonCat.unitsCommRingCat.monoidAlgebra · cited by 2CommRingCat.monoidAlgebraCommMonCat.Hom.ext · cited by 2Hom.extCommMonCat.Hom.hom' · cited by 2Hom.hom'MulEquiv.toCommMonCatIso · cited by 2MulEquiv.toCommMonCatIsoCommMonCat.Hom · cited by 2CommMonCat.HomCommMonCat.coyonedaForget · cited by 2CommMonCat.coyonedaForgetCommMonCat.uliftFunctor · cited by 2CommMonCat.uliftFunctorCommMonCatCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by96

Results whose statement or proof uses this declaration.